A train is travelling at a speed of $90\, km \,h^{-1}$. Brakes are applied so as to produce a uniform acceleration of $- 0.5\, m s^{-2}$. Find how far(in $m$) the train will go before it is brought to rest.

A driver of a car travelling at $52\, km\, h^{-1}$ applies the brakes and accelerates uniformly in the opposite direction. The car stops in $5\, s$. Another driver going at $3 \,km \,h^{-1}$ in another car applies his brakes slowly and stops in $10\, s$. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied ?

State which of the following situations are possible and give an example for each of these:

$(a)$ an object with a constant acceleration but with zero velocity

$(b)$ an object moving with an acceleration but with uniform speed.

$(c)$ an object moving in a certain direction with an acceleration in the perpendicular direction.

Abdul, while driving to school, computes the average speed for his trip to be $20 \,km\,h^{-1}$. On his return trip along the same route, there is less traffic and the average speed is $40\, km \,h^{-1}$. What is the average speed(in $km\,h ^{-1}$) for Abdul's trip?

A bus starting from rest moves with a uniform acceleration of $0.1\, m s^{-2}$ for $2\,min$. Find $(a)$ the speed acquired, $(b)$ the distance travelled.